# How do you find the x and y intercepts for 2x+6y=12?

Mar 19, 2018

$2 x + 6 y = 12$

$\implies x + 3 y = 6$

For x-intercept ,
plug in $y = 0$ and fin the value of $x$
$\implies x + 3 \left(0\right) = 6$
$\implies x = 6$
Therefore the x-intercept is 6.

For y-intercept ,
plug in $x = 0$ and fin the value of $y$
$\implies \left(0\right) + 3 y = 6$
$\implies y = 2$
Therefore the y-intercept is 2.

Alternatively, intercepts an also be found from the graph.
the points of intersection of the line representing $x + 2 y = 6$ and the x-axis and y-axis represents the x-intercept graph and y-intercept respectively.

graph{x+3y=6 [-10, 10, -5, 5]}